This lesson explains basic concepts of
Points
,
Lines
and
planes. You’ll learn it
in the presentation by instructor using video and with the help of several examples
with solution. Points, Line, planes, and together with the set will be used in defining
other terms. Although these terms are not formally defined or rather defined by
usage in most geometries, but their meaning is accepted without definition and are
referred to as undefined terms.
A
point indicates a place or position and has zero size
i.e. it has no length, width or thickness. It is usually indicated by a dot and named
with a capital letter. E.g. point A is represented as (•A). (More text below video...)
(Continued from above) A line is a set
of points. The set of points may form curved line, broken line or a straight line
and it extends in opposite directions up to infinity. It is represented by,
A straight line can be thought of as a connected set of infinitely many points.
It extends infinitely far in two opposite directions and has infinite length, zero
width, and zero height. Any two points on the line name it and is written as AB
with the symbol
on top of two letters. E.g. Line AB is written as
A plane is a set of infinite points forming a connected flat surface and extending
infinitely in all directions. Thus a plane has infinite length, width and is usually
represented in drawings by a foursided figure. A single capital letter is used
to denote a plane. The word plane is written with the letter to avoid confusion
with a point.
Further on following important postulates about point, line and plane are covered:
• one and only one straight line can be drawn that passes through two given points.
• in a plane, two distinct non parallel straight lines will intersect only at one
point.
• an infinite number of straight lines can be drawn through a given point in plane.
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